Greatest Common Factor of 4408/750, 2786/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4408/750, 2786/404

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4408/750,2786/404

Given fractions are 4408/750,2786/404

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4408,2786

Greatest Common Factor of Numerators i.e. GCF of 4408,2786 is 2 .

LCM of Denominators means LCM of 750,404 as per the given fractions.

LCM of 750,404 is 151500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4408,2786

GCF of Fractions 4408/750,2786/404 is 2/151500

2 4408, 2786
2204, 1393

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4408,2786 By Matching Biggest Common Factor Method

Greatest Common Factor of 4408,2786 By Matching Biggest Common Factor Method

Factors of 4408

List of positive integer factors of 4408 that divides 4408 without a remainder.

1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408

Factors of 2786

List of positive integer factors of 2786 that divides 2786 without a remainder.

1,2,7,14,199,398,1393,2786

Greatest Common Factor

We found the factors 4408,2786 . The biggest common factor number is the GCF number.
So the greatest common factor 4408,2786 is 2.

Lets's calculate LCM of 750,404

2 750, 404
375, 202

∴ So the LCM of the given numbers is 2 x 375 x 202 = 151500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/151500

Therefore, the GCF of Fractions 4408/750,2786/404 is 2/151500

Least Common Multiple of 750,404 with GCF Formula

Least Common Multiple of 750,404 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 750,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,404) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(750,404) x common factors =2 x 1 = 2

LCM(750,404) = ( 750 × 404 ) / 2

LCM(750,404) = 303000 / 2

LCM(750,404) = 151500


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4408/750, 2786/404

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 4408/750, 2786/404?

Answer: GCF of Numerators as per given numbers 4408/750, 2786/404 is

GCF of Numerators i.e. for 4408,2786 is 2

LCM of denominators i.e. for 750,404 is 151500.

Thus, GCF of Fractions is 2/151500.Finally, GCF of Fractions for 4408/750, 2786/404 is 2/151500.